Answer:
3137
Step-by-step explanation:
The decay factor is 400/110,000 = 1/275 in 30 hours. Assuming an exponential decay, the equation for the number remaining can be ...
n(t) = 110,000·(1/275)^(t/30)
Then after 19 hours, the number remaining is ...
n(19) = 110,000·(1/275)^(19/30) ≈ 3137
There will be about 3137 bacteria after 19 hours.
Answer: 49
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Explanation:
HI is parallel to KL, so this means that the two triangles can be proven similar through the AA (angle angle) similarity theorem.
Consequently, that means we can set up the proportion below
JH/JK = HI/KL
noticed how the left slant sides JH and JK pair up together on one side; the horizontal sides HI and KL pair up on the other side. I have the larger triangle's side lengths as the numerator for each side
Plug in the given values. Solve for HI
JH/JK = HI/KL
35/15 = HI/21
7/3 = HI/21
21*7 = 3*HI
3*HI = 147
HI = 147/3
HI = 49
This means that 35/15 = HI/21 turns into 35/15 = 49/21
Note: to check the answer that the last equation mentioned is true, we can subtract the fraction 49/21 from both sides to end up with 35/15 - 49/21 = 0. If you type "35/15 - 49/21" into your calculator, you should get 0, which will help confirm we have the right answer.
<span>A deposit of $278 followed by a withdrawal of $278</span>
area of trapezoid: 153 units²
Here given information:
trapezium area = 
* ( side 1 + side 2 ) * height
It has
been like a year since i had it but like I remember it having 10 questions, and no there isn’t a time limit but it does track you on your time so your teacher can see how long it took you.
